We use cookies to enhance your experience on our website. By continuing to use our website, you are agreeing to our use of cookies. You can change your cookie settings at any time. Find out more

E-book purchase
Choose a subscription

Downloaded copy on your device does not expire. Includes 4 years of Bookshelf Online.


Where applicable, tax will be added to the above price prior to payment.

E-book purchasing help


Fundamentals of Bayesian Epistemology 1

Introducing Credences

Michael G. Titelbaum

Publication Date - 04 October 2022

ISBN: 9780198707615

224 pages
9.2 x 6.1 inches

In Stock


Bayesian ideas have recently been applied across such diverse fields as philosophy, statistics, economics, psychology, artificial intelligence, and legal theory. Fundamentals of Bayesian Epistemology examines epistemologists' use of Bayesian probability mathematics to represent degrees of belief. Michael G. Titelbaum provides an accessible introduction to the key concepts and principles of the Bayesian formalism, enabling the reader both to follow epistemological debates and to see broader implications

Volume 1 begins by motivating the use of degrees of belief in epistemology. It then introduces, explains, and applies the five core Bayesian normative rules: Kolmogorov's three probability axioms, the Ratio Formula for conditional degrees of belief, and Conditionalization for updating attitudes over time. Finally, it discusses further normative rules (such as the Principal Principle, or indifference principles) that have been proposed to supplement or replace the core five.

Volume 2 gives arguments for the five core rules introduced in Volume 1, then considers challenges to Bayesian epistemology. It begins by detailing Bayesianism's successful applications to confirmation and decision theory. Then it describes three types of arguments for Bayesian rules, based on representation theorems, Dutch Books, and accuracy measures. Finally, it takes on objections to the Bayesian approach and alternative formalisms, including the statistical approaches of frequentism and likelihoodism.


  • Provides a guide to Bayesian methods, now widespread in many fields
  • Introduces Bayesian epistemology from the basics, with no background in the subject assumed
  • Motivates and presents the Bayesian formalism in multiple ways, to make it approachable and understandable
  • Further reading lists and thought-provoking exercises included in every chapter

About the Author(s)

Michael G. Titelbaum, University of Wisconsin-Madison

Michael G. Titelbaum is a Vilas Distinguished Achievement Professor in the Department of Philosophy at the University of Wisconsin-Madison. After majoring in philosophy at Harvard, he had a brief career as a high school teacher. He then earned a PhD in philosophy from the University of California, Berkeley, and completed a Visiting Research Fellowship at the Australian National University. He began at UW-Madison in 2009, and was Chair of the Department of Philosophy 2019-2022.

Table of Contents

    Quick Reference
    I Our Subject
    1. Beliefs and Degrees of Belief
    II The Bayesian Formalism
    2. Probability Distributions
    3. Conditional Credences
    4. Updating by Conditionalization
    5. Further Rational Constraints